振動応答にトポロジー最適化とL1正則化を適用し損傷を同定する手法の開発

抄録

When a damage is generated in a mechanical structure, its elasto-mechanical characteristics change, resulting in the change in its vibration response. Therefore, if the change in the vibration response can be associated with the information of the damage, it is possible to identify the damage based on the vibration response. Based on this concept, we propose a damage detection method based on the minimization of the differences between the vibration response of the damaged structure and that obtained by finite element analyses. For solving the minimization problem, we utilize topology optimization with Solid Isotropic Material with Penalization (SIMP). To avoid spurious damaged areas and minimize the effects of measurement noise, L1 regularization, or Least Absolute Shrinkage and Selection Operator (LASSO) is applied. In this report, we present the results of the application of the proposed method to rectangular cantilevered plates with rectangular notches that imitate damaged areas. It is shown that the proposed method can identify the damaged areas of the plates.